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Quasirandom Latin squares
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Cooper, Jacob W., Králʼ, Daniel, Lamaison, Ander and Mohr, Samuel (2022) Quasirandom Latin squares. Random Structures & Algorithms, 61 (2). pp. 298-308. doi:10.1002/rsa.21060 ISSN 1042-9832.
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Official URL: https://doi.org/10.1002/rsa.21060
Abstract
We prove a conjecture by Garbe et al. [arXiv:2010.07854] by showing that a Latin square is quasirandom if and only if the density of every urn:x-wiley:rsa:media:rsa21060:rsa21060-math-0001 pattern is urn:x-wiley:rsa:media:rsa21060:rsa21060-math-0002. This result is the best possible in the sense that urn:x-wiley:rsa:media:rsa21060:rsa21060-math-0003 cannot be replaced with urn:x-wiley:rsa:media:rsa21060:rsa21060-math-0004 or urn:x-wiley:rsa:media:rsa21060:rsa21060-math-0005 for any n.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
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SWORD Depositor: | Library Publications Router | ||||||||
Journal or Publication Title: | Random Structures & Algorithms | ||||||||
Publisher: | John Wiley & Sons, Inc. | ||||||||
ISSN: | 1042-9832 | ||||||||
Official Date: | September 2022 | ||||||||
Dates: |
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Volume: | 61 | ||||||||
Number: | 2 | ||||||||
Page Range: | pp. 298-308 | ||||||||
DOI: | 10.1002/rsa.21060 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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